107094648960 has 448 divisors, whose sum is σ = 413410155480. Its totient is φ = 26360266752.

The previous prime is 107094648953. The next prime is 107094648967. The reversal of 107094648960 is 69846490701.

107094648960 is a `hidden beast` number, since 1 + 0 + 70 + 94 + 6 + 489 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (107094648953) and next prime (107094648967).

It can be written as a sum of positive squares in 4 ways, for example, as 43989189696 + 63105459264 = 209736^2 + 251208^2 .

It is a super-2 number, since 2×107094648960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 107094648897 and 107094648906.

It is not an unprimeable number, because it can be changed into a prime (107094648967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6056452 + ... + 6074108.

Almost surely, 2^107094648960 is an apocalyptic number.

107094648960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107094648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206705077740).

107094648960 is an abundant number, since it is smaller than the sum of its proper divisors (306315506520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107094648960 is an equidigital number, since it uses as much as digits as its factorization.

107094648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17707 (or 17680 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 107094648960 in words is "one hundred seven billion, ninety-four million, six hundred forty-eight thousand, nine hundred sixty".